Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160l |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-768890880 = -1 · 211 · 36 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 7 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117,1242] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
118638/515 |
j-invariant |
L |
7.8266270725932 |
L(r)(E,1)/r! |
Ω |
1.1418996814572 |
Real period |
R |
1.7135102146158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37080n1 8240e1 |
Quadratic twists by: -4 -3 |